123886656 has 84 divisors (see below), whose sum is σ = 364758732. Its totient is φ = 40172544.

The previous prime is 123886627. The next prime is 123886661. The reversal of 123886656 is 656688321.

It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 24206400 = 9984^2 + 4920^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18406 + ... + 24218.

Almost surely, 2^123886656 is an apocalyptic number.

123886656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182379366).

123886656 is an abundant number, since it is smaller than the sum of its proper divisors (240872076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123886656 is a wasteful number, since it uses less digits than its factorization.

123886656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5855 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 123886656 is about 11130.4382663038. The cubic root of 123886656 is about 498.5111121601.

It can be divided in two parts, 12388 and 6656, that added together give a square (19044 = 138²).

The spelling of 123886656 in words is "one hundred twenty-three million, eight hundred eighty-six thousand, six hundred fifty-six".